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Finding the Fourth Proportional to 978.07, 1,464.93 and 566.19

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Solution

The fourth proportional to 978.07, 1,464.93 and 566.19 is: 848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.07 : 1,464.93 = 566.19 : x
  2. Step 2: Convert to fraction form
    978.07/1,464.93 = 566.19/x
  3. Step 3: Cross multiply
    978.07x = 1,464.93 × 566.19
  4. Step 4: Simplify right side
    978.07x = 829,418.56
  5. Step 5: Solve for x
    x = 829,418.56/978.07
  6. Step 6: Final answer
    x = 848.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.